6 citations · 12 across the 12 of their papers we have counts for
12 papers
Computing epsilon multiplicities in graded algebras
Suprajo Das, Saipriya Dubey, Sudeshna Roy +1
This article investigates the computational aspects of the -multiplicity. Primarily, we show that the -multiplicity of a homogeneous ideal in a two-di…
Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers
Kriti Goel, Vivek Mukundan, Sudeshna Roy +1
We present a package 'MixedMultiplicity' for computing mixed multiplicities of ideals in a Noetherian ring which is either local or a standard graded algebra over a field. This ena…
The Minkowski equality and inequality for multiplicity of ideals
Kriti Goel, R. V. Gurjar, J. K. Verma
In this exposition of the equality and inequality of Minkowski for multiplicity of ideals, we provide simple algebraic and geometric proofs. Connections with mixed multiplicities o…
Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals
Kriti Goel, Sudeshna Roy, J. K. Verma
Analogues of Eakin-Sathaye theorem for reductions of ideals are proved for -graded good filtrations. These analogues yield bounds on joint reduction vectors for a fa…
Variations on the Grothendieck-Serre Formula for Hilbert functions and their applications
Shreedevi K. Masuti, Parangama Sarkar, J. K. Verma
In this expository paper we present proofs of Grothendieck-Serre Formula for multi-graded algebras and Rees algebras for admissible multi-graded filtrations. As applications, we de…
Postulation and reduction vectors of multigraded filtrations of ideals
Parangama Sarkar, J. K. Verma
We study relationship between postulation and reduction vectors of admissible multigraded filtrations of id…
Local cohomology of multi-Rees algebras, Joint reduction numbers and product of complete ideals
Parangama Sarkar, J. K. Verma
We find conditions on the local cohomology modules of multi-Rees algebras of admissible filtrations which enable us to predict joint reduction numbers. As a consequence we are able…
Local Cohomology of Multi-Rees Algebras with Applications to Joint Reductions and Complete Ideals
Shreedevi K. Masuti, Tony J. Puthenpurakal, J. K. Verma
In this paper, we obtain a generalization, in dimension , of a theorem of David Rees about joint reductions of the bigraded filtration of complete ${\ma…
On the Chern number of -admissible filtrations of ideals
Mousumi Mandal, J. K. Verma
Let be an $\m$-primary ideal of a Noetherian local ring $(R, \m)$ of positive dimension. The coefficient of the Hilbert polynomial of an -admissible filtra…
On some cconjectures about the Chern numbers of filtrations
Mousumi Mandal, Balwant Singh, J. K. Verma
Let I be an m-primary ideal of a Noetherian local ring (R,m) of positive dimension. The coefficient of the Hilbert polynomial of an I-admissible filtration A is called the…
Hilbert series of fiber cones of ideals of almost minimal mixed multiplicity
Clare D'Cruz, J. K. Verma
Let (R, m) be a Cohen-Macaulay local ring and I be an m-primary ideal. We introduce ideals of almost minimal mixed multiplicty which are analogues of ideals studied by J. Sally. Th…
Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras
A. V. Jayanthan, J. K. Verma
The Grothendieck-Serre formula for the difference between the Hilbert function and Hilbert polynomial of a graded algebra is generalized for bigraded standard algebras. This is use…